103 citations · 275 across the 13 of their papers we have counts for
13 papers
Participation Ratio as a Quantum Probe of Hierarchical Stickiness
Ariel A. Galindo Duque, Miguel A. Prado Reynoso, Miguel Gonzalez +1
We investigate how quantum localization encodes the hierarchical stickiness that governs transport in mixed classical phase spaces. Using the periodically driven kicked top, we sho…
Dynamical witnesses and universal behavior across chaos and non-ergodicity in the tilted Bose-Hubbard model
Carlos Diaz-Mejia, Sergio Lerma-Hernandez, Jorge G. Hirsch
Quantum chaos in isolated quantum systems is intimately linked to thermalization and the rapid relaxation of observables. Although the spectral properties of the chaotic phase in t…
Resonance Assisted Tunneling in Floquet spin-J systems
J. A. Segura-Landa, Diego A. Wisniacki, Sergio Lerma-Hernández +1
We apply the theory of Resonance Assisted Tunneling (RAT) to a many-body quantum kicked system with a well-defined semiclassical limit. Using a quantum resonant condition, we ident…
Phase space geometry of collective spin systems: Scaling and Fractality
Miguel Gonzalez, Miguel A. Bastarrachea-Magnani, Jorge G. Hirsch
We examine the scaling of the inverse participation ratio of spin coherent states in the energy basis of three collective spin systems: a bounded harmonic oscillator, the Lipkin-Me…
Subtle Nuances between Quantum and Classical regimes
Karin Wittmann Wilsmann, Erick R. Castro, Itzhak Roditi +2
This study explores the semiclassical limit of an integrable-chaotic bosonic many-body quantum system, providing nuanced insights into its behavior. We examine classical-quantum co…
Diagnosing Thermalization via Participation Ratio in Disordered Bosonic Chains
Javier de la Cruz, Carlos Diaz-Mejia, Sergio Lerma-Hernandez +1
We study thermalization in a disordered one-dimensional interacting bosonic system described by the Aubry-Andre model using full exact diagonalization. We find a broad chaotic ener…
Classical and Quantum Properties of the Spin-Boson Dicke Model: Chaos, Localization, and Scarring
David Villaseñor, Saúl Pilatowsky-Cameo, Jorge Chávez-Carlos +4
This review article describes major developments associated with the Dicke model, from its introduction in the 1950s to explain the transition from a normal to a superradiant phase…
From integrability to chaos: the quantum-classical correspondence in a triple well bosonic model
Erick R. Castro, Karin Wittmann W., Jorge Chávez-Carlos +3
In this work, we investigate the semiclassical limit of a simple bosonic quantum many-body system exhibiting both integrable and chaotic behavior. A classical Hamiltonian is derive…
Dynamics of Coherent States in Regular and Chaotic Regimes of the Non-integrable Dicke Model
S. Lerma-Hernández, J. Chávez-Carlos, M. A. Bastarrachea-Magnani +2
The quantum dynamics of initial coherent states is studied in the Dicke model and correlated with the dynamics, regular or chaotic, of their classical limit. Analytical expressions…
Thermal and Quantum Phase Transitions in Atom-Field Systems: a Microcanonical Analysis
Miguel A. Bastarrachea-Magnani, Sergio Lerma-Hernández, Jorge G. Hirsch
The thermodynamical properties of a generalized Dicke model are calculated and related with the critical properties of its energy spectrum, namely the quantum phase transitions (QP…
Delocalization and quantum chaos in atom-field systems
M. A. Bastarrachea-Magnani, B. López-del-Carpio, J. Chávez-Carlos +2
Employing efficient diagonalization techniques, we perform a detailed quantitative study of the regular and chaotic regions in phase space in the simplest non-integrable atom-field…
Comparative quantum and semi-classical analysis of Atom-Field Systems II: Chaos and regularity
M. A. Bastarrachea-Magnani, S. Lerma-Hernandez, J. G. Hirsch
The non-integrable Dicke model and its integrable approximation, the Tavis-Cummings (TC) model, are studied as functions of both the coupling constant and the excitation energy. Th…
Comparative quantum and semi-classical analysis of Atom-Field Systems I: density of states and excited-state quantum phase transitions
M. A. Bastarrachea-Magnani, S. Lerma-Hernandez, J. G. Hirsch
We study the non-integrable Dicke model, and its integrable approximation, the Tavis-Cummings model, as functions of both the coupling constant and the excitation energy. Excited-s…